8. The gas mileage (in miles per gallon or mpg) of a certain model of automobile is normally distributed with a mean of 28 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage (a)  less than 22 mpg. (b) greater than 30 mpg. (c)  between 26 mpg and 30 mpg

Q: Suppose the selling price of various houses in Livingstone follow a normal distribution with mean…

A: Given information: μ=276000σ=32000

Q: 2. We are given that the average height for women in America is 64 inches tall with a standard…

A: We have given that the random variable X i.e. height of the women. The Mean μ = 64 inches, standard…

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A:

Q: 13. Assuming weights of female athletes are normally distributed with a mean of 140 Ibs and a…

A: Given: μ=140, σ=15 The corresponding z-value needed to be computed is:

Q: (a) A factory manufactured PVC pipes with a mean diameter of 3.4 cm, a standard deviation of 1.7 cm…

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Q: 2. The average comic book has 55 pages and a standard deviation of 7 pages. Assume it has a normally…

A:

Q: (a) Assuming that the height of female Junior High School students are normally distributed with…

A: The mean and standard deviation are μ=173 and σ=8 respectively. The number of students are n=40 i)…

Q: The mean production of workers in a certain factory is 10 products per hour with a standard…

A: Let production of workers in a certain factory = X μ = 10 σ = 1.5 X ~ N(10, 1.52)

Q: 2. In a study of the life expectancy of 400 people in a certain geographic region, the mean age at…

A: Given that  μ= 70 , σ= 5.1 , n= 50 Formula for Z-score Z=(x̄-μ)/(σ/√n)

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A: First we find the required probabilities for getting the answers for given problems, (a) (b) (c)…

Q: 2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700…

A: Solution: 2. Let X be the lifetime of a battery. From the given information, X follows normal…

Q: Suppose that a 1-gallon can of paint covers 513.3 square feet on average with a standard deviation…

A: From the provided information, Mean (µ) = 513.3 square feet Standard deviation (σ) = 31.5 square…

Q: 4. The height of adult males is normally distributed with a mean of 65 inches and a standard…

A: Mean(µ) = 65Standard deviations (σ) = 2.5X ~ N (µ, σ )= N(65, 2.5)

Q: Supposed that the mean age of the employees of warrior's corporation is 45.5 years and the standard…

A:

Q: 10. Waist circumference for adult men in the U.S. are normally distributed with mean 40.1 inches and…

A:

Q: 14. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A: the probability of randomly selecting 46 cigarettes with a mean of 0.863 g or less.P(M < 0.863 g)…

Q: 77% with a standard deviation of 10%. What is the probability that the mean mark of four randomly…

A: here given, marks in days and evening class is normally distributed  so here sampling distribution…

Q: The number of shots on goal in an amateur hockey league's games is normally distributed, with a mean…

A: Let us assume X= The number of shots on goal in an amateur hockey league's games Given that X…

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A: Given data The amount of time spent by North American adults watching television per day is normally…

Q: 17) The tread life of a particular brand of tire is a random variable best described by a normal…

A: The probability a particular tire of this brand will last longer than 57,900 miles is,

Q: 1. The waiting time at the doctor's office has a normal distribution with a mean of 35 minutes and…

A: Given: μ=35 minutesσ=2.6 minutes

Q: 5.The weights of adult males are normally distributed with mean of 172 pounds and a standard…

A:

Q: The salaries of employees of a certain company in Baguio City have a mean of P6,500 and a standard…

A:

Q: The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks)…

A: The average fuel efficiency of U.S. light vehicle is 21 miles per gallon. The standard deviation of…

Q: 1. The average cost per household of owning a brand new car is 5000. Suppose that we randomly…

A: Solution: Let x be the average cost per household of owning a brand is normal distribution with mean…

Q: Suppose in a certain primary school, the weight of boys are normally distributed with mean 28kg and…

A:

Q: 4. The income of employees at Casio Inc. are normally distributed with a mean of $ 2300 and a…

A: GivenMean(μ)=2300standard deviation(σ)=25

Q: 1. In a study of the life expectancy of 500 people in a certain geographic region, the mean age at…

A:

Q: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: 3) Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the…

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Q: In a manufacturing process, the diameter of steel rods is distributed normally with a mean value of…

A:

Q: 1. The weights of deer in a national park are normally distributed with a mean of 65 kilograms and a…

A: Given that, the weights of deer in a national park are normally distributed with a mean of 65…

Q: 5. The average salary of bank managers in a certain city is $91,900 pesos per hour with a standard…

A: Let X be the random variable from normal distribution with average or mean (μ) = $91900 and standard…

Q: Suppose the total cholesterol levels of all women 20 or older in U.S. have the average of μ=170μ=170…

A:

Q: Suppose the length of time for a brunch at a restaurant is normally distributed with mean 60 minutes…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: 4) The police response to emergency calls x, is normally distributed with mean of 10 minutes and a…

A: From the provided information, Population mean (µ) = 10 Population standard deviation (σ) = 2 Let X…

Q: 3. The lifetimes of the light bulbs produced by Filip Company are normally distributed with a mean…

A:

Q: Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and…

A: Solution. Given score follow normal distribution. Mean = 80  Score= 5

Q: Suppose that the height of women in Dakar, Senegal is normally distributed with mean 58 inches and…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: 1. Suppose the mean life span of a randomly selected Chihuahua dog is normally distributed with a…

A: Solution

Q: 1. The average amount of calories from a hamburger served in a restaurant in 220 per order with a…

A: Given that: X is normally Distributed with mean µ = 220.0 and standard deviation σ = 30.0 By using…

Q: 2. Assume that SAT scores are normally distributed with mean µ = 1060 and standard deviation o =…

A:

Q: Assume that IQ are normally distributed with a mean of 100 and standard deviation of 18. For a…

A: Here, µ= 100, σ= 18. Thus, X~ N (100, 18). Sample size is 15.

Q: The number of shots on goal in an amateur hockey league's games is normally distributed, with a mean…

A: Let X=the number of shots X follows a normal distribution with mean=56.3 and standard deviation= 8.1…

Q: Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts,…

A: Given information- Population mean, µ = 4.6 million Population standard deviation, σ = 880000 =…

Q: The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks)…

A:

Q: Supposed that the mean age of the employees of warrior's corporation is 45.5 years and the standard…

A:

Q: The time it takes an international telephone operator to place an overseas phone call is normally…

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Q: Assume that the distributions of the amounts spent per month on reading and enter- tainment for the…

A: Xi=Men between 30 and 40 years who spent some amount on reading and entertainment, i=1,2 Yi=Women…

Q: 3. For males in a certain town, the systolic blood pressure is normally distributed with a mean of…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.